Yes, I did read the data sheet and am aware that the includes an internal reference with a calibration constant.
But the thing you would be interested in finding out with my proposed experiment with an external reference voltage, is whether the internal reference or something else in the uP’s conversion chain is acting up.
And I know, I know, it shouldn’t, but…
My personal assumption whenever I am stuck in a rut, is not to assume that something could NOT be causing the issue.